Iv. Lindell et F. Olyslager, DUALITY TRANSFORMATIONS, GREEN DYADICS AND PLANE-WAVE SOLUTIONS FOR ACLASS OF BIANISOTROPIC MEDIA, Journal of electromagnetic waves and applications, 9(1-2), 1995, pp. 85-96
Duality transformations are defined as linear transformations between
pairs of vector fields and sources. A class of bianisotropic media is
defined so that a pair of duality transformations can be found which l
eave the media invariant (self dual). It is seen that for such media t
he permittivity, permeability and nonreciprocity parameters must be mu
ltiples of the same dyadic while the chirality parameter may be an arb
itrary dyadic. Any source and field in such a medium can be decomposed
in a pair of self-dual components which see the bianisotropic medium
as two equivalent anisotropic media of affine-isotropic type. The Gree
n dyadics in these two media can be solved through affine transformati
ons and the Green dyadics of the original bianisotropic medium can be
written in explicit analytic form. The plane-wave dispersion equation
can be solved through a similar self-dual decomposition of fields.